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Phase transitions in the antiferromagnetic ising model on a square lattice with next-nearest-neighbor interactions |
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| Authors: | A K Murtazaev M K Ramazanov F A Kassan-Ogly M K Badiev |
| Institution: | 1. Institute of Physics, Dagestan Scientific Center, Russian Academy of Sciences, Makhachkala, 367003, Dagestan, Russia 2. Dagestan State University, Makhachkala, 367025, Dagestan, Russia 3. Dagestan State Pedagogical University, Makhachkala, 367003, Dagestan, Russia 4. Institute of Metal Physics, Ural Branch, Russian Academy of Sciences, ul. S. Kovalevskoi 18, Yekaterinburg, 620990, Russia |
| Abstract: | The phase transitions in the two-dimensional Ising model on a square lattice are studied using a replica algorithm, the Monte Carlo method, and histogram analysis with allowance for the next-nearest-neighbor interactions in the range 0.1 ≤ r < 1.0. A phase diagram is constructed for the dependence of the critical temperature on the next-nearest-neighbor interaction. A second-order phase transition is detected in this range and the model under study. |
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